Optimal transmission switching to eliminate voltage violations during light-load periods using decomposition approach
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摘要
With the rapid load increase in some countries such as China, power grids are becoming more strongly interconnected, and the differences between peak and valley loads are also increasing. As a result, some bulk power systems are facing high voltage limit violations during light-load periods. This paper proposes to utilize transmission switching(TS) to eliminate voltage violations. The TS problem is formed as a mixed-integer nonlinear program(MINLP) with AC power flow constraints and binary variables. The proposed MINLP problem is non-deterministic polynomial hard.To efficiently solve the problem, a decomposition approach is developed. This approach decomposes the original problem into a mixedinteger linear programming master problem and an AC optimal power flow slave problem that is used to check the AC feasibility. Prevention of islanding is also taken into consideration to ensure the feasibility of the TS results.The modified IEEE 39-bus and IEEE 57-bus test systems are used to demonstrate the applicability and effectiveness of the proposed method.
With the rapid load increase in some countries such as China, power grids are becoming more strongly interconnected, and the differences between peak and valley loads are also increasing. As a result, some bulk power systems are facing high voltage limit violations during light-load periods. This paper proposes to utilize transmission switching(TS) to eliminate voltage violations. The TS problem is formed as a mixed-integer nonlinear program(MINLP) with AC power flow constraints and binary variables. The proposed MINLP problem is non-deterministic polynomial hard.To efficiently solve the problem, a decomposition approach is developed. This approach decomposes the original problem into a mixedinteger linear programming master problem and an AC optimal power flow slave problem that is used to check the AC feasibility. Prevention of islanding is also taken into consideration to ensure the feasibility of the TS results.The modified IEEE 39-bus and IEEE 57-bus test systems are used to demonstrate the applicability and effectiveness of the proposed method.
With the rapid load increase in some countries such as China, power grids are becoming more strongly interconnected, and the differences between peak and valley loads are also increasing. As a result, some bulk power systems are facing high voltage limit violations during light-load periods. This paper proposes to utilize transmission switching(TS) to eliminate voltage violations. The TS problem is formed as a mixed-integer nonlinear program(MINLP) with AC power flow constraints and binary variables. The proposed MINLP problem is non-deterministic polynomial hard.To efficiently solve the problem, a decomposition approach is developed. This approach decomposes the original problem into a mixedinteger linear programming master problem and an AC optimal power flow slave problem that is used to check the AC feasibility. Prevention of islanding is also taken into consideration to ensure the feasibility of the TS results.The modified IEEE 39-bus and IEEE 57-bus test systems are used to demonstrate the applicability and effectiveness of the proposed method.
引文
[1] Khodaei A,Shahidehpour M(2010)Transmission switching in security-constrained unit commitment. IEEE Trans Power Syst25(4):1937-1945
[2] Hedman KW, Ferris MC, O'Neill RP et al(2010)Co-optimization of generation unit commitment and transmission switching with n-1 reliability. IEEE Trans Power Syst25(2):1052-1063
[3] Khanabadi M, Ghasemi H, Doostizadeh M(2013)Optimal transmission switching considering voltage security and n-1contingency analysis. IEEE Trans Power Syst 25(2):542-550
[4] Ostrowski J,Wang J,Liu C(2014)Transmission switching with connectivity-ensuring constraints. IEEE Trans Power Syst29(6):2621-2627
[5] Heidarifar M, Ghasemi H(2016)A network topology optimization model based on substation and node-breaker modeling.IEEE Trans Power Syst 31(1):247-255
[6] Han J,Papavasiliou A(2015)Congestion management through topological corrections:a case study of central western Europe.Energy Policy 86:470-482
[7] Escobedo AR,Moreno-Centeno E, Hedman KW(2014)Topology control for load shed recovery. IEEE Trans Power Syst 29(2):908-916
[8] Liu WL, Chiang HD(2015)Toward on-line line switching method for relieving overloads in power systems. In:Proceedings of 2015 IEEE PES general meeting, Denver, USA,26-30July 2015,5 pp
[9] Yang Z, Zhong H, Xia Q et al(2016)Optimal transmission switching with short-circuit current limitation constraints.IEEE Trans Power Syst 31(2):1278-1288
[10] Hedman KW,Oren SS, O'Neill RP(2011)A review of transmission switching and network topology optimization. In:Proceedings of 2011 IEEE PES general meeting, San Diego, USA,24-29 July 2011,7 pp
[11] Bacher R, Glavitsch H(1988)Loss reduction by network switching. IEEE Trans Power Syst 3(2):447-454
[12] Quintana VH(1990)Overload and voltage control of power systems by line switching and generation rescheduling. Can J Electr Comput Eng 15(4):167-173
[13] Fliscounakis S, Zaoui F, Simeant G et al(2007)Topology influence on loss reduction as a mixed integer linear programming problem. In:Proceedings of IEEE Lausanne PowerTech,Lausanne,Switzerland, 1-5 July 2007, pp 1987-1990
[14] Shao W, Vittal V(2005)Corrective switching algorithm for relieving overloads and voltage violations. IEEE Trans Power Syst 20(4):1877-1885
[15] Guo WM,Wei Q,Liu GJ et al(2013)Transmission switching to relieve voltage violations in low load period.In:Proceedings of4th IEEE PES innovative smart grid technologies, Lyngby,Denmark,6-9 October 2013, 5 pp
[16] Bienstock D, Munoz G(2015)Approximate method for AC transmission switching based on a simple relaxation for ACOPF problems. In:Proceedings of 2015 IEEE PES general meeting,Denver,USA,26-30 July 2015,5 pp
[17] Bai Y, Zhong H, Xia Q et al(2015)A conic programming approach to optimal transmission switching considering reactive power and voltage security. In:Proceedings of 2015 IEEE PES general meeting,Denver,USA,26-30 July 2015,5 pp
[18] Bai Y,Zhong H,Xia Q et al(2017)A two-level approach to AC optimal transmission switching with an accelerating technique.IEEE Trans Power Syst 32(2):1616-1625
[19] Soroush M, Fuller JD(2014)Accuracies of optimal transmission switching heuristics based on DCOPF and ACOPF. IEEE Trans Power Syst 29(2):924-932
[20] Coffrin C, Hijazi H,Lehmann K et al(2014)Primal and dual bounds for optimal transmission switching. In:Proceedings of the 18th power systems computation conference, Wroclaw,Poland, 18-22 August 2014, 8 pp
[21] Lotfjou A, Shahidehpour M, Fu Y et al(2010)Security-constrained unit commitment with AC/DC transmission systems.IEEE Trans Power Syst 25(1):531-542
[22] Wang B, Xia Y, Xia Q et al(2016)Security-constrained economic dispatch with AC/DC interconnection system based on Benders decomposition method. Proc CSEE 36(6):1-8
[23] Huang S,Dinavahi V(2016)Security constrained transmission expansion planning by accelerated Benders decomposition. In:Proceedings of north American power symposium(NAPS),Denver,USA, 18-20 September 2016,6 pp
[24] Ajaja A,Galiana FD(2013)Optimal reconfiguration of distribution networks using MILP and supporting hyperplanes(HYPER). In:Proceedings of 2013 IEEE PES general meeting,Vancouver,Canada,21-25 July 2013,5 pp
[25] Minguez R,Milano F,Zarate-Minano R et al(2007)Optimal network placement of SVC devices. IEEE Trans Power Syst22(4):1851-1860
[26] Li C, Guo Z,Fan A(2002)Application of primal-dual interior point method of optimal power flow to power system. Electr Power Autom Equip 22(8):4-7
[27] Chen Q, Guo R(2008)A hybrid reactive power optimization algorithm based on improved genetic algorithm and primal-dual interior point algorithm. Power Syst Technol 32(24):50-54
[28] Zimmerman RD, Murillo-Sanchez CE, Thomas RJ(2011)MATPOWER:steady-state operations, planning and analysis tools for power systems research and education. IEEE Trans Power Syst 26(1):12-19
[2] Hedman KW, Ferris MC, O'Neill RP et al(2010)Co-optimization of generation unit commitment and transmission switching with n-1 reliability. IEEE Trans Power Syst25(2):1052-1063
[3] Khanabadi M, Ghasemi H, Doostizadeh M(2013)Optimal transmission switching considering voltage security and n-1contingency analysis. IEEE Trans Power Syst 25(2):542-550
[4] Ostrowski J,Wang J,Liu C(2014)Transmission switching with connectivity-ensuring constraints. IEEE Trans Power Syst29(6):2621-2627
[5] Heidarifar M, Ghasemi H(2016)A network topology optimization model based on substation and node-breaker modeling.IEEE Trans Power Syst 31(1):247-255
[6] Han J,Papavasiliou A(2015)Congestion management through topological corrections:a case study of central western Europe.Energy Policy 86:470-482
[7] Escobedo AR,Moreno-Centeno E, Hedman KW(2014)Topology control for load shed recovery. IEEE Trans Power Syst 29(2):908-916
[8] Liu WL, Chiang HD(2015)Toward on-line line switching method for relieving overloads in power systems. In:Proceedings of 2015 IEEE PES general meeting, Denver, USA,26-30July 2015,5 pp
[9] Yang Z, Zhong H, Xia Q et al(2016)Optimal transmission switching with short-circuit current limitation constraints.IEEE Trans Power Syst 31(2):1278-1288
[10] Hedman KW,Oren SS, O'Neill RP(2011)A review of transmission switching and network topology optimization. In:Proceedings of 2011 IEEE PES general meeting, San Diego, USA,24-29 July 2011,7 pp
[11] Bacher R, Glavitsch H(1988)Loss reduction by network switching. IEEE Trans Power Syst 3(2):447-454
[12] Quintana VH(1990)Overload and voltage control of power systems by line switching and generation rescheduling. Can J Electr Comput Eng 15(4):167-173
[13] Fliscounakis S, Zaoui F, Simeant G et al(2007)Topology influence on loss reduction as a mixed integer linear programming problem. In:Proceedings of IEEE Lausanne PowerTech,Lausanne,Switzerland, 1-5 July 2007, pp 1987-1990
[14] Shao W, Vittal V(2005)Corrective switching algorithm for relieving overloads and voltage violations. IEEE Trans Power Syst 20(4):1877-1885
[15] Guo WM,Wei Q,Liu GJ et al(2013)Transmission switching to relieve voltage violations in low load period.In:Proceedings of4th IEEE PES innovative smart grid technologies, Lyngby,Denmark,6-9 October 2013, 5 pp
[16] Bienstock D, Munoz G(2015)Approximate method for AC transmission switching based on a simple relaxation for ACOPF problems. In:Proceedings of 2015 IEEE PES general meeting,Denver,USA,26-30 July 2015,5 pp
[17] Bai Y, Zhong H, Xia Q et al(2015)A conic programming approach to optimal transmission switching considering reactive power and voltage security. In:Proceedings of 2015 IEEE PES general meeting,Denver,USA,26-30 July 2015,5 pp
[18] Bai Y,Zhong H,Xia Q et al(2017)A two-level approach to AC optimal transmission switching with an accelerating technique.IEEE Trans Power Syst 32(2):1616-1625
[19] Soroush M, Fuller JD(2014)Accuracies of optimal transmission switching heuristics based on DCOPF and ACOPF. IEEE Trans Power Syst 29(2):924-932
[20] Coffrin C, Hijazi H,Lehmann K et al(2014)Primal and dual bounds for optimal transmission switching. In:Proceedings of the 18th power systems computation conference, Wroclaw,Poland, 18-22 August 2014, 8 pp
[21] Lotfjou A, Shahidehpour M, Fu Y et al(2010)Security-constrained unit commitment with AC/DC transmission systems.IEEE Trans Power Syst 25(1):531-542
[22] Wang B, Xia Y, Xia Q et al(2016)Security-constrained economic dispatch with AC/DC interconnection system based on Benders decomposition method. Proc CSEE 36(6):1-8
[23] Huang S,Dinavahi V(2016)Security constrained transmission expansion planning by accelerated Benders decomposition. In:Proceedings of north American power symposium(NAPS),Denver,USA, 18-20 September 2016,6 pp
[24] Ajaja A,Galiana FD(2013)Optimal reconfiguration of distribution networks using MILP and supporting hyperplanes(HYPER). In:Proceedings of 2013 IEEE PES general meeting,Vancouver,Canada,21-25 July 2013,5 pp
[25] Minguez R,Milano F,Zarate-Minano R et al(2007)Optimal network placement of SVC devices. IEEE Trans Power Syst22(4):1851-1860
[26] Li C, Guo Z,Fan A(2002)Application of primal-dual interior point method of optimal power flow to power system. Electr Power Autom Equip 22(8):4-7
[27] Chen Q, Guo R(2008)A hybrid reactive power optimization algorithm based on improved genetic algorithm and primal-dual interior point algorithm. Power Syst Technol 32(24):50-54
[28] Zimmerman RD, Murillo-Sanchez CE, Thomas RJ(2011)MATPOWER:steady-state operations, planning and analysis tools for power systems research and education. IEEE Trans Power Syst 26(1):12-19